Stephen read a 90-page book in 6 days. If he continues reading at that rate, how long will it take him to read a 300-page book?
I don't understand how to find the answer for the problem. I kept reading the lesson but still couldn't find the answer.
The ratio of days/pages is constant, so
x/300 = 6/90
Thanks
To find the answer to this problem, you can use a proportion to determine how long it will take Stephen to read a 300-page book.
Step 1: Determine the ratio of pages read per day. Stephen read a 90-page book in 6 days, so the ratio of pages to days is 90/6 = 15 pages per day.
Step 2: Set up a proportion to find the number of days it will take Stephen to read a 300-page book. Let x be the number of days:
15 pages per day = 300 pages / x days
Step 3: Solve the proportion for x. Cross-multiply to get:
15x = 300
Step 4: Divide both sides by 15 to solve for x:
x = 300 / 15
x = 20
So, it will take Stephen 20 days to read a 300-page book if he continues reading at the same rate.
To find the answer to this problem, you need to calculate the number of pages Stephen reads per day. Then you can use that information to determine how long it will take him to read a 300-page book.
Let's start by finding the number of pages Stephen reads per day. We know that Stephen read a 90-page book in 6 days. To find the number of pages he reads in one day, we can divide the total number of pages (90) by the number of days (6).
90 pages / 6 days = 15 pages per day
So, Stephen reads 15 pages per day.
Now, to calculate how long it will take him to read a 300-page book, we divide the total number of pages (300) by the number of pages he reads per day (15).
300 pages / 15 pages per day = 20 days
Therefore, if Stephen continues reading at the same rate, it will take him 20 days to read a 300-page book.